Answer:
A capacidade dessa piscina é de 150.000 litros de água.
Step-by-step explanation:
A capacidade da piscina é de x.
Para encher 2/5 de uma piscina são necessários 60.000 litros de água.
Isto implica que:
[tex]\frac{2x}{5} = 60000[/tex]
[tex]2x = 60000*5[/tex]
[tex]x = \frac{60000*5}{2}[/tex]
[tex]x = 150000[/tex]
A capacidade dessa piscina é de 150.000 litros de água.
A rancher is building a new square corral for his horses. The total perimeter of the corral is 520m. What will the total area of the corral be?
Answer:
4*s= 520
s= 130
area=s*s=130*130=16900m^2
Step-by-step explanation:
HELP ASAP.
Please solve.
2 plus or minus the square root of negative 36 over 2
Answer:
The expression is not defined in a set of real numbers.
The square root of a negative number is not defined in the set of real numbers.
bro pls hlep me with #3 and #4
Answer:
3. 15 baskets
4. 16 tries
Step-by-step explanation:
3.
3: 4 is ratio so 3:4=x:20, 3/4=x/20, and you get x=15
4. ratio is still 3:4, 3:4=12:x, 3/4=12/x, x=16, so 16 tries
how to do graphs of quadratic functions
Answer:
The Graph of a Quadratic Function
A quadratic function is a polynomial function of degree 2 which can be written in the general form.
Step-by-step explanation:
Example: Graph: f(x)=−x2−2x+3.
Solution:
Step 1: Determine the y-intercept. To do this, set x=0 and find f(0).
f(x)f(0)===−x2−2x+3−(0)2−2(0)+33
The y-intercept is (0,3).
Step 2: Determine the x-intercepts if any. To do this, set f(x)=0 and solve for x.
f(x)000x+3x======−x2−2x+3−x2−2x+3x2+2x−3(x+3)(x−1)0−3orx−1x==Set f(x)=0.Multiply both sides by −1.Factor.Set each factor equal to zero.01
Here where f(x)=0, we obtain two solutions. Hence, there are two x-intercepts, (−3,0) and (1,0).
Step 3: Determine the vertex. One way to do this is to first use x=−b2a to find the x-value of the vertex and then substitute this value in the function to find the corresponding y-value. In this example, a=−1 and b=−2.
x====−b2a−(−2)2(−1)2−2−1
Substitute −1 into the original function to find the corresponding y-value.
f(x)f(−1)====−x2−2x+3−(−1)2−2(−1)+3−1+2+34
The vertex is (−1,4).
Step 4: Determine extra points so that we have at least five points to plot. Ensure a good sampling on either side of the line of symmetry. In this example, one other point will suffice. Choose x=−2 and find the corresponding y-value.
x −2 y 3f(−2)=−(−2)2−2(−2)+3=−4+4+3=3Point(−2,3)
Our fifth point is (−2,3).
Step 5: Plot the points and sketch the graph. To recap, the points that we have found are
y−intercept:x−intercepts:Vertex:Extra point:(0,3)(−3,0) and (1,0)(−1,4)(−2,3)
Answer:
1 +tan30÷1-tan30=1+sin60÷1-sin30
can anyone help me in proving this?
Very quickly: since tan(30°) = 1/√3,
(1 + tan(30°)) / (1 - tan(30°)) = (1 + 1/√3) / (1 - 1/√3)
… = (√3 + 1) / (√3 - 1)
… = (√3 + 1)² / ((√3)² - 1²)
… = ((√3)² + 2√3 + 1²) / (3 - 1)
… = (3 + 2√3 + 1) / 2
… = (4 + 2√3) / 2
… = 2 + √3
On the other side, we have sin(30°) = 1/2 and sin(60°) = √3/2, so
(1 + sin(60°)) / (1 - sin(30°)) = (1 + √3/2) / (1 - 1/2)
… = (1 + √3/2) / (1/2)
… = 2 (1 + √3/2)
… = 2 + √3
and we're done, both sides are equal.
We can also prove this algebraically:
Force the denominator on the left side into a difference of squares:
(1 + tan(30°)) / (1 - tan(30°)) × (1 + tan(30°)) / (1 + tan(30°))
… = (1 + tan(30°))² / (1 - tan²(30°))
Expand the numerator:
… = (1 + 2 tan(30°) + tan²(30°)) / (1 - tan²(30°))
Recall that 1 + tan²(x) = sec²(x) :
… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°))
Since sec(x) = 1/cos(x) and tan(x) = sin(x)/cos(x), multiply through every term by cos²(30°) :
… = (sec²(30°) + 2 tan(30°)) / (1 - tan²(30°)) × cos²(30°) / cos²(30°)
… = (1 + 2 sin(30°) cos(30°)) / (cos²(30°) - sin²(30°))
Recall that sin(2x) = 2 sin(x) cos(x) and cos(2x) = cos²(x) - sin²(x) :
… = (1 + sin(2×30°)) / cos(2×30°)
… = (1 + sin(60°)) / cos(60°)
Finally, recall that cos(90° - x) = sin(x), so cos(60°) = sin(30°) = 1/2, and we can write 1/2 = 1 - 1/2, so
… = (1 + sin(60°)) / (1 - sin(30°))
as required.
Three consecutive integers numbers add up to -6. What are the numbers?
Answer:
-1, -2, and -3
Step-by-step explanation:
-1 + -2 + -3 = -6
Is 5 a solution of 5a − 9 = 26
What is the radius of the inscribed circle of HJK?
Answer:
D) 22
Step-by-step explanation:
Since it gives you two rays just set them equal and solve for X.
6x - 14 = 3x +4
+14 +14
6x = 3x + 18
-3x -3x
3x = 18
/3 /3
x = 6
Then plug x into either one of the equations
6(6) - 14
36 - 14
22
Answer:
D. 22
Step-by-step explanation:
HELP AGAIN PLEASE REEEEEEEEEEEEE
Answer:
3. D
4. A
5. B
Step-by-step explanation:
PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!
1) Power of a Product
2) Power Rule (or Power of a Power)
Answer:
-Number 1 is Power of a Power Property, I think
-Number 2 is Power of a Power Property
an architect find some unlabeled dimensions on a blueprint and no skill has shown a 15 foot wall that has already been built measures 1.5 in on the drawing in your wall that has to be built measures 3 in on the drawing how long will the new wall be
Can someone please help with this?
Answer:
true
Step-by-step explanation:
first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
HELP ME WITH THESE PROBLEMSS PLEASE
Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4. Values of p are factors of ✔ -4 . Values of q are factors of ✔ 3 Select all of the potential roots. \pm 4/3 \pm 2/3 \pm 3/4 \pm 2 \pm 4 \pm 3/2 I need help with the second one please <3 Thanks
Answer:
-1 and 4/3
Step-by-step explanation:
Given the quadratic equation;
f(x) = 3x^2-x-4
To get all potential roots, we will equate f(x) = 0
3x^2-x-4 = 0
3x^2-4x+3x-4 = 0
x(3x-4)+1(3x-4) = 0
(x+1)(3x-4) = 0
x+1= 0 and 3x-4 = 0
x = -1 and 3x = 4
x = -1 and x= 4/3
Hence the potential roots are -1 and 4/3
Hello you have reached a reference page. The first to answer this question will get brainliest and a 5 star review. If it is incorrect you will not get the brainnliest and your answer will be deleted. Here is the question. You will also need to give a very specific explanation.
[tex]x^2-5x+6=0[/tex]
The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equation x
Answer:
Width = 16 m
Length = 4 m
Step-by-step explanation:
The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x
Area of a rectangle = Length × Width
L = W - 12
Hence:
64 = (W - 12) × W
64 = W² - 12W
W² - 12W - 64 = 0
Factor using
(W + 4)(W - 16) = 0
Width = 16m
Length = W - 12
Length = 16 m - 12 m
= 4 m
Which equation is true?
A=
32
14
19
56
B=
5
1
8
3
C=
4
7
2
9
O A.
(12
so C
32 19T-5 874 2
14 56 1 3 7
32 1911-5 84 2
14 56 3 ||79
B.
32 19
14 56
32 19
14 56
+
CON
O c.
32 1971-5 8714
14 56 || 1 3 || 7 9
(32 1974 271-5 87
14 56 || 7 9 | 1
[-5 874 27
O D.
1 3 7 9
(4 275 8
7 9 13
Answer:
A
Step-by-step explanation:
Equation A is true among the given equations.
What is a matrix?A matrix is an array of values arranged in rows and columns, such that they are used to represent a mathematical object.
Matrices are associative when they are multiplied. This means that any two adjacent matrices can be multiplied first and then the third one can be multiplied. This would yield the same answer. This means that equation A is true. In equation B, different matrices are multiplied and added. Therefore, the LHS is not equal to the RHS. In equation C, the order in which the matrices are written and multiplied is different. Matrices aren't commutative with multiplication. Therefore, the LHS is not equal to the RHS. Similarly, equation D is also wrong.Thus, we have found that among the given equations, equation A is true.
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ABCD is a trapezoid. The coordinates are A(-4, -1), B(0,3), C(8,3) and D(8, -1). Find the length of the midsegment of the trapezoid.
Answer:
the length od the midsegment is 10
Step-by-step explanation:
8+12/2=20/2=10
Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12
A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?
Answer:
6 feet per minute
Step-by-step explanation:
Answer:
6 feet per minute.
Step-by-step explanation:
5ft + 1ft = 6ft per minute.
ill mark brainlist plss help
Please help me!!!
solve for f : 5/6 f =5
1. 5
2. 4.2
3. 7.3
4. 6
Answer:
6
Step-by-step explanation:
can someone pls help i’ll mark you brainliest pls pls pls it’s due in 10 min
Answer:
Step-by-step explanation:
1) r = 5mm; d = 10 mm
2) r = 6 cm; d = 12 cm
3) r = 9 m; d = 18 m
4) r = 8 km; d = 16 km
5) r = 11 m; d = 22 m
6) r = 15 mm; d = 30 mm
7) r = 13 km; d = 26 km
8) r = 7 cm; 14 cm
SOME ONE HELP!!! You are still at (1,5). The zombie is 8.7 units below you. Enter the correct coordinates of the zombie below.
Answer:
(1,-3.7)
Step-by-step explanation:
subtract the y axis to go down
5 - 8.7 = -3.7
The solution is B ( 1 , -3.7 )
The coordinates of the zombie is given by B ( 1 , -3.7 )
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the initial point of the man be A
The value of A = A ( 1 , 5 )
Let the coordinates of the zombie be B
The value of B = B ( x , y )
The zombie is 8.7 units below
So , it is a vertical shift by 8.7 units
Therefore , the y coordinate will decrease by 8.7 units
Substituting the values in the equation , we get
B = A ( 1 , 5 - 8.7 )
B = B ( 1 , -3.7 )
Therefore , the value of B is B ( 1 , -3.7 )
Hence , the coordinates of B is B ( 1 , -3.7 )
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Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?
Answer:
7 cars
Step-by-step explanation:
The computation of the number of cars to be filled is shown below:
A car that is 90% full and the total people is 20 so 90% would be
= (.90)(20)
= 18
A car that is 65% full and the total people is 20 so 65% would be
= (.65)(20)
= 13
Now
Total number of people = (5)(18) + (3)(13).
= 129
Now the number of cars to be filled is
= 129 ÷ 20
= 6.45
= 7 cars
1. Prove that the product of the second and third numbers out of four consecutive whole numbers is two greater than the product of the first and the fourth numbers.
2. Prove that the square of the second number out of three consecutive odd numbers is four greater than the product of the first and third numbers.
Answer:
1.
(x+1)(x+2)>x(x+3)
x^2+2x+x+2>x^2+3x
x^2+3x+2>x+3x
2>0
2.
(x+2)^2>x(x+4)
x^2+4x+4>x^2+4x
4>0
Step-by-step explanation:
1.
Suppose x is the lowest number in the set of 4 consecutive numbers, then x+1, x+2, and x+3 are then the next numbers in the sequence since they are the next whole numbers.
Then, to follow the conditions of the problem, we make the equation:
(x+1)(x+2)>x(x+3)
Using the formula of (a+b)(c+d)=ac+ad+bc+bd, we can expand both sides of the equation into this:
x^2+2x+x+2>x^2+3x
=x^2+3x+2>x^2+3x
We can then cancel x^2+2x from both sides and we are left with 2>0.
2.
Again, suppose x is the lowest value in the set of consecutive numbers. In this case, odd numbers increase by 2 each time so the series of numbers are:
x, x+2, x+4
Therefore, to follow the conditions of the problem, we make the equation:
(x+2)^2>x(x+4)=
(x+2)(x+2)>x(x+4)
Using the same formula of (a+b)(c+d)=ac+ad+bc+bd, we get:
x^2+4x+4>x^2+4x
Cancel x^2+4x from both sides and we are left with 4>0
Hope this helps!
I need help on 12 please 14 points
Step-by-step explanation:
P = 6+6+5x-3 + 5x -3 = 10x+6
A = 6(5x-3) = 30x -18
Answer:
30x-18 is the area
the perimeter is 10x+6
Step-by-step explanation:
not enough info to solve for x, but we can still have a variable
6(5x-3)
distribute
6(5x)-6(3)
30x-18 is the area
the perimeter is 10x+6
The cylindrical canister of a fire extinguisher
has a diameter of 4 inches and is 12 inches
high. About how many square inches of
metal (total surface area) would be needed
to manufacture one fire extinguisher?
Step-by-step explanation:
2*22/7*48=301.714 .This the answer
Answer:
Yeah, what they said above.
Step-by-step explanation:
how are all angles in the 4th quadrant, negative or positive?
Answer:
They are all positive because you must go right.
They are all negative because you must go down.
Step-by-step explanation:
Example. (1,-4)
You go over one.
Down 4
Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. 3 red marbles and 2 blue marbles What is the best prediction for the number of times that Ellen will draw a blue marble?
Answer:
120
Step-by-step explanation:
Blue marbles = 2
Red marbles = 3
Total marbles = 2 + 3 = 5
If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :
P(drawing a blue marble) = number of blue marbles / total number of marbles
= 2 /5 = 0.4
Predicted number of times blue is drawn in 300 selections :
300 * 0.4 = 120
Approximately 120 times